Question

find the remainder when x^+4x^2-5x^2-6x+7 when divided by x+1​

Answer 1

${\huge{\boxed{\mathcal{\red{Answer}}}}}$

= 15.

Solution:

Given polynomial f(x) = x⁴ + 4x³ - 5x² - 6x + 7is divided by x - 1. And the Zero of x - 1 is...

→ x - 1 = 0

→ x = + 1.

Remainder is f(1),

f(x) = (1)⁴ + 4(1 )³ - 5(1 )² - 6(1 ) + 7

= 4 + 4( 3) - 5( 2) - 6 + 7

= 4 + 12 - 10 - 6 + 7

= 21 - 16

= 15.